The tunneling dynamics of a dissipative two-level system that is stron
gly driven by elliptically polarized electric fields is investigated.
The dissipative dynamics is governed within the noninteracting-blip-ap
proximation for the stochastic forces by a generalized master equation
(GME). With the focus being on viscous friction, we compare exact num
erical solutions of the GME with analytical approximations to both the
transient and the asymptotic, long-time periodic dynamics. Novel phen
omena are identified: These are a selective control on localization (o
r, as well, on delocalization) of the tunneling dynamics, or the inver
sion of an initially induced localization by a static bias via multiph
oton-assisted tunneling. These effects can be selectively tuned as a f
unction of the eccentricity parameter p = E-y/E-x of corresponding fie
ld amplitudes. In particular, the case of a circularly polarized drivi
ng field with p = +/- 1 yields a dramatic enhancement of the relaxatio
n rate at resonances, when an integer multiple of the angular driving
frequency matches the asymmetry energy induced by a static bias. (C) 1
998 American Institute of Physics.